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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000009054270075 2,429 digits created 2026-08-07

Value

31765788062275779876965585807228918427408428339492344080442915635682216067478612163580633444538281958498924162827335284771214289758873045792145769917937587394911697265536357512324039845562170013240770191848668350996460352989107956677247959890896954137472497291675353255000372053694219417129127129706472264218459917097823804711824443750999400047962233222869448671060342574091006606916896160487490233525941619976244526253437831317184653933239852107527109179282399612675329786354513269665364409255191763064907872830426543387154355511081445152983481466328724987452296414600713064791856511198189645610798998022172553642694996188432716434625662279152598021625860998082946485361619944847374112113833282588079365786033403267728355158325607010546441929271340292077471279729749824461405201522960971663377916849284976076656550138535044598861936850267775791869586779821639650793376969489649641970245766856797120799783796008558077464381817512176212617191326703072015838740909784557673470089558691039241430284609948652514713692120091929091376462838671569735271631860100352407425273424413821849529236277424233689106651098026721534058502650939676718701266021694355752254031835408655707111627733994926767724127682580919344765706360537686057497068252931914099032789699776247674333251373802862279067380636004041125069102953772085873469486074301840465695095385020607312018853530250864744919365343780332608142839448637012180859447831970723033134577290613741526447947256679810158601567251320990504430175035664347119094098947268067668133281730016023979671271884839938157638721559859096627247189533063910155112190580173990519090429831455201216967460632205985594554461687688327557349081270859680373081638158989885262269946292558304722028385798872822566134523656686942404309795537783884643003160424196106290902938488599488984904746559085571669539974685044563938607873996453203891874305372308711897776431223302385071138493766296550109071597908661751121394586529159338187944876624259048749191291292890233656049623599578966824574872603220889495655574301281510964684901436395548441057232196962275465303553226872349851573527630723716396676841460111231699330227393881257082796842229298854214438207166258691346525322601778431381160428561396992433291107514259476959940523961269289581620598291794319417027104274827201764314724511717446552722140585643720953295219808251551999716754779394056242589071992285187035270174643768772372079890926025616080924820593078471799
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,580-digit prime (189 intermediate primes).

Certified number2,580-digit prime
Certificatedownload
Certificate chainshow step 13 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054270075 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000009054270075},"decimal":true,"detail":2}}'